A note on semi-Fredholm Hilbert modules

Details A note on semi-Fredholm Hilbert modules A note on semi-Fredholm Hilbert modules

2009-02-26

arxiv.org/abs/0902.4714v1

Mathematics

Operator Algebras

11 pages, no figure

Scientific paper

A classical problem in operator theory has been to determine the spectrum of
Toeplitz-like operators on Hilbert spaces of vector-valued holomorphic
functions on the open unit ball in C^m. In this note we obtain necessary
conditions for k-tuples of such operators to be Fredholm in the sense of Taylor
and show they are sufficient in the case of the unit disk.

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